Löwner equations and dispersionless hierarchies

Takashi Takebe, Lee Peng Teo, Anton Zabrodin

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


Using the Hirota representation of dispersionless dKP and dToda hierarchies, we show that the chordal Löwner equations and radial Löwner equations respectively serve as consistency conditions for one-variable reductions of these integrable hierarchies. We also clarify the geometric meaning of this result by relating it to the eigenvalue distribution of normal random matrices in the large N limit.

Original languageEnglish
Article number010
Pages (from-to)11479-11501
Number of pages23
JournalJournal of Physics A: Mathematical and General
Issue number37
Publication statusPublished - 15 Sep 2006
Externally publishedYes


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